- anonymous

A fair coin is tossed 4 times in a row. If X is the number of heads counted, which table gives the probability distribution of X?

- jamiebookeater

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- anonymous

- anonymous

##### 1 Attachment

- rational

whats the probability for getting heads on all 4 coins ?

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## More answers

- anonymous

1/2?

- rational

how ?

- rational

may i know why do you think it is 1/2

- anonymous

its a 50/50 chance to land on head.

- rational

its a 50/50 chance to land head on one coin

- rational

but when you have four coins, the probability for landing heads on "ALL" four coins need not be 1/2 right

- rational

the probability is actually 1/2*1/2*1/2*1/2 = 1/16

- anonymous

so what like 1/4?

- anonymous

oh sorry. 4 coins. my bad

- rational

Yes, another question
whats the probability for getting NOT getting heads in any of the four coins ?

- anonymous

1/2 each so total would be another 1/16?

- rational

Yep!
so P(X=0) is 1/16
and P(X=4) is also 1/16

- rational

Now, whats the probability of getting exactly ONE head ?

- rational

P(X=1) = ?

- anonymous

I would think 1/2 but i know thats not it

- rational

one way to get exactly ONE head is :
H T T T

- rational

notice that there are 3 other ways to get exactly ONE head :
T H T T
T T H T
T T T H

- rational

so the probability for getting exactly ONE head is 4/16 = 1/4

- rational

see if that makes sense

- anonymous

Yes it does, I see what you mean now. okay.

- rational

look at the options

- anonymous

A?

- rational

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- rational

Yes! our work so far matches perfectly with option A

- anonymous

Yes thats why I said A, the work matches A and not others

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